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Determine whether the sentence is a proposition
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Determine whether the sentence is a proposition.
The area code for Storm Lake, Iowa, is 512.
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Write the negation of the statement.
The lunch was served at noon.
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Write the sentence in symbolic form. Represent each component of the sentence with the letter indicated in parentheses.
If it is a dog (d), it has fleas (f).
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Use the given symbols to write the symbolic statement in words.
p:I cannot play the piano.q:I can play the violin.
~p ? q
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Use DeMorgan's laws to restate the given statement in an equivalent form.
She did not visit France, and she did not visit Italy.
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Identify the antecedent and consequent of the conditional statement.
If I had the money, I would buy the painting.
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State the premise, conclusion, and logical fallacy.
If I make an exception for you, Joey will find out and want one too. Then everyone will find out, and I will have to make an exception for everyone.
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State the premise, conclusion, and logical fallacy.
The police were unable to prove that a ghost wasn't responsible for the strange activity. Therefore, it was a ghost.
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State the premise, conclusion, and logical fallacy.
That's America. Love it or leave it.
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State the premise, conclusion, and logical fallacy.
Surely my beautiful and intelligent sister wants to give me a ride to school.
Expert Solution
Answer:
1.
Determine whether the sentence is a proposition.
The area code for Storm Lake, Iowa, is 512.
The sentence is a proposition.The sentence is not a proposition.
2.
Write the negation of the statement.
The lunch was served at noon.
The lunch was not served at noon.The lunch was not served that day. The lunch was not eaten at noon.No lunch was served.The lunch was served either before or after noon.
3.
Write the sentence in symbolic form. Represent each component of the sentence with the letter indicated in parentheses.
If it is a dog (d), it has fleas (f).
d ? ff → d d → fd ? f~f
4.
Use the given symbols to write the symbolic statement in words.
p:I cannot play the piano.q:I can play the violin.
~p ? q
I can play the piano and the violin.I cannot play the piano or the violin. I can play the violin but not the piano.I can play the piano but not the violin.I can play the piano or the violin, but not
5.
Use DeMorgan's laws to restate the given statement in an equivalent form.
She did not visit France, and she did not visit Italy.
She did not visit either France or Italy.She did not visit France only if she did not visit Italy. She visited France, and she visited Italy.She did not visit France if she did not visit Italy.She did not visit France, or she did not visit Italy.
6.
Identify the antecedent and consequent of the conditional statement.
If I had the money, I would buy the painting.
antecedentI had the money consequentI would buy the painting
7.
State the premise, conclusion, and logical fallacy.
If I make an exception for you, Joey will find out and want one too. Then everyone will find out, and I will have to make an exception for everyone.
premise
I should make an exception for you.I should not make an exception for Joey. I will have to make an exception for everyone.Joey will tell everyone about the exception.Joey will want an exception too.
conclusion
I should make an exception for you.I should not make an exception for Joey. I will have to make an exception for everyone.Joey will tell everyone about the exception.Joey will want an exception too.
logical fallacy
appeal to emotionslippery slope red herringpost hocappeal to ignorance
8.
State the premise, conclusion, and logical fallacy.
The police were unable to prove that a ghost wasn't responsible for the strange activity. Therefore, it was a ghost.
premise
A ghost was responsible for the strange activity.A ghost was not responsible for the strange activity. Ghosts are not real.The police could not prove the strange activity was not caused by a ghost.The police made a mistake.
conclusion
A ghost was responsible for the strange activity.A ghost was not responsible for the strange activity. Ghosts are not real.The police could not prove the strange activity was not caused by a ghost.The police made a mistake.
logical fallacy
ad hominemappeal to ignorance post hocappeal to authorityblack-or-white
9.
State the premise, conclusion, and logical fallacy.
That's America. Love it or leave it.
premise
Either you love America or you leave.Love it or leave it. That's America.You can love America and still leave it.You must love America so that you don't have to leave.conclusion
Either you love America or you leave.Love it or leave it. That's America.You can love America and still leave it.You must love America so that you don't have to leave.
logical fallacy
black-or-whiteappeal to popularity hasty generalizationstraw manappeal to emotion
10.
State the premise, conclusion, and logical fallacy.
Surely my beautiful and intelligent sister wants to give me a ride to school.
premise
I need a ride to school.My sister is beautiful and intelligent My sister goes to the same school as me.My sister owns a car.My sister wants to give me a ride to school.
conclusion
I need a ride to school.My sister is beautiful and intelligent My sister goes to the same school as me.My sister owns a car.My sister wants to give me a ride to school.
logical fallacy
hasty generalizationappeal to emotion circular reasoningappeal to ignorancead hominem
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